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14 June, 20:23

The equation shows a number multipled by 8. n x 8 = Which is true about the product?

It is a factor of 8

It is a multiple of 8

It is a prime number

The product is a factor of n

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  1. 14 June, 20:49
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    It is a multiple of 8

    Step-by-step explanation:

    The product may or may not be a factor of 8. We usually think of the factors of an integer as being positive integers, so the factors of 8 would be 1, 2, 4, or 8. If 8n is to be a factor of 8, then n must be 1/8, 1/4, 1/2, or 1. This will not be the case in general.

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    The product of 8 and any number is a multiple of 8. (Again, we usually think of a multiple of 8 as being an integer, which would require the number n to be an integer.)

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    No product of two (integer) numbers is a prime number. If 8n is to be a prime, then the value of n must be (some prime number) / 8. Again, this will not be the case in general.

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    n is a factor of the product; not the other way around.
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